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Finding the Fourth Proportional to 2,073,660, 3,110,490 and 497,724

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Solution

The fourth proportional to 2,073,660, 3,110,490 and 497,724 is: 746,586

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073,660 : 3,110,490 = 497,724 : x
  2. Step 2: Convert to fraction form
    2,073,660/3,110,490 = 497,724/x
  3. Step 3: Cross multiply
    2,073,660x = 3,110,490 × 497,724
  4. Step 4: Simplify right side
    2,073,660x = 1,548,165,524,760
  5. Step 5: Solve for x
    x = 1,548,165,524,760/2,073,660
  6. Step 6: Final answer
    x = 746,586

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.